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Isolation of the trivial part of a nonlinear control system by factorization. III. (English. Russian original) Zbl 1443.93038

Differ. Equ. 56, No. 4, 499-503 (2020); translation from Differ. Uravn. 56, No. 4, 511-515 (2020).
Summary: The use of special decompositions of nonlinear control systems for simplifying control problems by reducing their dimension is considered.
For Part II, see [the author, Differ. Equ. 54, No. 11, 1444–1448 (2018; Zbl 1409.93034); translation from Differ. Uravn. 54, No. 11, 1470–1474 (2018)].

MSC:

93B11 System structure simplification
93C10 Nonlinear systems in control theory

Citations:

Zbl 1409.93034
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Full Text: DOI

References:

[1] Elkin, V. I., Isolation of the Trivial Part of a Nonlinear Control System by Factorization: I, Differ. Equations, 53, 12, 1645-1653 (2017) · Zbl 1383.93020 · doi:10.1134/S0012266117120114
[2] Elkin, V. I., Isolation of the Trivial Part of a Nonlinear Control System by Factorization: II, Differ. Equations, 54, 11, 1444-1448 (2018) · Zbl 1409.93034 · doi:10.1134/S0012266118110058
[3] Zhevnin, A.A., Kolesnikov, K.S., Krishchenko, A.P., and Toloknov, V.I., Synthesis of terminal control algorithms based on notions of reverse dynamics problems: a survey,Izv. Akad. Nauk SSSR. Tekh. Kibern., 1985, no. 4, pp. 180-188. · Zbl 0602.93026
[4] Elkin, V. I., On categories and foundations of the theory of nonlinear control dynamical systems: V, Differ. Equations, 42, 11, 1553-1561 (2006) · Zbl 1131.93032 · doi:10.1134/S001226610611005X
[5] Elkin, V.I., Subsystems of control systems and terminal control problem,Avtom. Telemekh., 1995, no. 1, pp. 21-29.
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